An introductory account of certain modern ideas and methods in plane analytical geometry (1894)
Scott, Charlotte Angas, b. 1858 · London, New York : Macmillan and Co. · leaf 178
Pi(i. 38. these have one real intersection G, and they have thereforeanother real intersection G] let GG meet the base in 0.By the properties of circles, OA.OA=OG. OG - OB . OB,therefore 0 is the centre of the involution. If now 0 be not between A, A, it is outside the circlesGAA, GBB (Fig. 38,… … If 0 be between A, A, that is, inside the circle, no real 164 CROSS-EATIO, HOMOGRAPHY, AND INVOLUTION. tangents can be drawn, and the double points are imaginary.In this case, describing a. circle on A A as diameter, let thedouble ordinate through 0 be S^S., (Fig. 39). The two points^\, So are of…
Geometry, Analytic -- Plane
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